Complete the sentence:
To find the area of a right triangle, one must multiply ________________ by each other and divide by 2.
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Complete the sentence:
To find the area of a right triangle, one must multiply ________________ by each other and divide by 2.
To solve this problem, begin by identifying the elements involved in calculating the area of a right triangle. In a right triangle, the two sides that form the right angle are known as the legs. These legs act as the base and height of the triangle.
The formula for the area of a triangle is given by:
In the case of a right triangle, the base and height are the two legs. Therefore, the process of finding the area involves multiplying the lengths of the two legs together and then dividing the product by 2.
Based on this analysis, the correct way to complete the sentence in the problem is:
To find the area of a right triangle, one must multiply the two legs by each other and divide by 2.
the two legs
Angle A is equal to 30°.
Angle B is equal to 60°.
Angle C is equal to 90°.
Can these angles form a triangle?
The legs are the two shorter sides that meet at the right angle (90°). They're perpendicular to each other, which makes them perfect as base and height for the area formula.
The hypotenuse is the longest side opposite the right angle. It's not perpendicular to either leg, so it can't serve as a base or height. Only perpendicular sides work for the area formula!
Yes, always! The area formula A = ½ × base × height applies to all triangles, not just right triangles. The ½ accounts for the triangle being half of a rectangle.
That's an isosceles right triangle! You still multiply the two equal legs together and divide by 2. For example: if both legs are 5 units, area = ½ × 5 × 5 = 12.5 square units.
Look for the right angle symbol (small square) in the corner. The two sides that form this 90° angle are your legs. The side opposite the right angle is the hypotenuse.
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